Problem preview
MF.PR.1 Challenge MF-015-A12-V04

Write, interpret, and compare ratios using words, symbols, tables, and diagrams.

Screen for matching ratio representations

Problem

At a trail club meeting, \(5~\text{out}~\text{of}~\text{every}~12~\text{hikers}\) brought a water bottle. Evaluate every representation below against the ratio of hikers with water bottles to all hikers.

A. \(\text{hikers}~\text{with}~\text{water}~\text{bottles}~:~\text{all}~\text{hikers}~=~5~:~12\)
B. \(5/12\)
C. \(\text{all}~\text{hikers}~:~\text{hikers}~\text{with}~\text{water}~\text{bottles}~=~5~:~12\)
D. \(\text{hikers}~\text{with}~\text{water}~\text{bottles}~:~\text{hikers}~\text{without}~\text{water}~\text{bottles}~=~5~:~7\)
E. \(10:24\)
F. The ratio of hikers with water bottles to all hikers is \(10~\text{to}~24\).

Include every correct match.

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Four variants of this problem type
Curriculum context
Standard
MF.PR.1
Category
Proportional Reasoning
Domain
Ratios and Rates
Objective
Write, interpret, and compare ratios using words, symbols, tables, and diagrams.
Problem type
Screen for matching ratio representations